A=1;
n=5;
x[t_,x0_]=A(1+ ((A/x0)^n-1) E^(-n A t))^(-1/n);
bild1=Plot[x[t,0.2],{t,0,10},PlotRange->All,DisplayFunction->Identity];
bild2=Plot[x[t,0.4],{t,0,10},PlotRange->All,DisplayFunction->Identity];
bild3=Plot[x[t,0.6],{t,0,10},PlotRange->All,DisplayFunction->Identity];
bild4=Plot[x[t,0.8],{t,0,10},PlotRange->All,DisplayFunction->Identity];
bild5=Plot[x[t,1.0],{t,0,10},PlotRange->All,DisplayFunction->Identity];
bild6=Plot[x[t,1.2],{t,0,10},PlotRange->All,DisplayFunction->Identity];
bild7=Plot[x[t,1.4],{t,0,10},PlotRange->All,DisplayFunction->Identity];
bild=Show[{bild1,bild2,bild3,bild4,bild5,bild6,bild7},
PlotRange->{{0,4},{0,1.5}},AxesLabel->{"t","x"},
ImageSize->{400,300},DisplayFunction->$DisplayFunction];